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Finding the Third Proportional to 591,870 and 927,471

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Solution

The third proportional to 591,870 and 927,471 is: 1,453,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,870 : 927,471 = 927,471 : x
  2. Step 2: Convert to fraction form
    591,870/927,471 = 927,471/x
  3. Step 3: Cross multiply
    591,870x = 927,471 × 927,471
  4. Step 4: Simplify right side
    591,870x = 860,202,455,841
  5. Step 5: Solve for x
    x = 860,202,455,841/591,870
  6. Step 6: Final answer
    x = 1,453,363.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.